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2012321000 = 23534149081
BaseRepresentation
bin111011111110001…
…1001010011101000
312012020112111110102
41313330121103220
513110123233000
6531403004532
7100603306034
oct16774312350
95166474412
102012321000
119429a2608
12481b09748
13260b9c4b1
141513851c4
15bb9e83d5
hex77f194e8

2012321000 has 64 divisors (see below), whose sum is σ = 4823778960. Its totient is φ = 785280000.

The previous prime is 2012320997. The next prime is 2012321053. The reversal of 2012321000 is 1232102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19412836 + 1992908164 = 4406^2 + 44642^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16460 + ... + 65540.

Almost surely, 22012321000 is an apocalyptic number.

2012321000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411889480).

2012321000 is an abundant number, since it is smaller than the sum of its proper divisors (2811457960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2012321000 is a wasteful number, since it uses less digits than its factorization.

2012321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49143 (or 49129 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2012321000 is about 44858.9010119508. The cubic root of 2012321000 is about 1262.5030029664.

Adding to 2012321000 its reverse (1232102), we get a palindrome (2013553102).

The spelling of 2012321000 in words is "two billion, twelve million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 41000 49081 98162 196324 245405 392648 490810 981620 1227025 1963240 2012321 2454050 4024642 4908100 6135125 8049284 9816200 10061605 12270250 16098568 20123210 24540500 40246420 49081000 50308025 80492840 100616050 201232100 251540125 402464200 503080250 1006160500 2012321000